Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori

Xiao Xiong, Quanhua Xu, Zhi Yin

This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative $d$-torus ${\mathbb{T}}_{\theta }^d$ (with $\theta$ a skew symmetric real $d\times d$-matrix)…